\vec{u}

u_2=

Nuevos vectores

u_1=

\vec{u}=

\vec{v}=

\vec{v}

Cambiar módulos y ángulo

Cambiar coordenadas

\left| \vec{u}×\vec{v} \right| =\left| \vec{u} \right| ·\left| \vec{v} \right| ·sen \; \alpha=

Ver plano

ver1 = false
mu = 5 (slider from 0 to 10, step 0.1)
P_2 = (1, 0, 0)
P = (5, 0, 0)
u = Vector((mu * P_2))
mv = 4 (slider from 0 to 10, step 0.1)
Q = (3.464101615137755, 1.7888543819998315, 0.8944271909999157)
a = Plane((0, 0), P, Q)
e = OrthogonalLine((0, 0), a)
α = 0.5235987755982988 rad (slider from 0 to 180°, step °)
Q_2 = Rotate((mv * P_2), α, e)
v = Vector(Q_2)
Q_1 = (0.6666666666666666, 0.3333333333333333, 0.6666666666666666)
CasillaDeEntrada2 = Textfield(Q)
CasillaDeEntrada1 = Textfield(P)
ejes = 0
α_1 = Angle(u, v)
xu = If(x(P)  <  0, "(" + (x(P)) + ")", "" + (x(P)))
yu = If(y(P)  <  0, "(" + (y(P)) + ")", "" + (y(P)))
zu = If(z(P)  <  0, "(" + (z(P)) + ")", "" + (z(P)))
zv = If(z(Q)  <  0, "(" + (z(Q)) + ")", "" + (z(Q)))
yv = If(y(Q)  <  0, "(" + (y(Q)) + ")", "" + (y(Q)))
xv = If(x(Q)  <  0, "(" + (x(Q)) + ")", "" + (x(Q)))
b = OrthogonalPlane(Q_2, u)
A = Intersect(Line[(0, 0), P], b)
textomu: "\left| \vec{u} \right| =" + (LaTeX[mu]) + ""
textomv: "\left| \vec{v} \right| =" + (LaTeX[mv]) + ""
c = Segment(Q_2, A)
texto3: "\vec{u}=" + (LaTeX[(mu * P_2)]) + " \; \; ; \; \; \vec{v}=" + (LaTeX[Q_2]) + ""
f = false
pv: u ⊗ v
polígono1, d, g, h, i = Polygon((0, 0), (0, 0) + u, (0, 0) + u + v, (0, 0) + v)
β = Angle(u, pv)
γ = Angle(v, pv)
texto4: "" + polígono1 + ""
texto5: "" + polígono1 + ""
texto2: "=" + (LaTeX[mu]) + "·" + (LaTeX[mv]) + "·" + (LaTeX[sin(α)]) + "=" + (LaTeX[polígono1]) + ""
textopv2: "=\left|  \begin{array}{} " + (LaTeX[y(u)]) + " & " + (LaTeX[z(u)]) + " \\ " + (LaTeX[y(v)]) + " & " + (LaTeX[z(v)]) + " \\ \end{array}  \right| \vec{i} \; -\left|  \begin{array}{} " + (LaTeX[x(u)]) + "  &  " + (LaTeX[z(u)]) + " \\ " + (LaTeX[x(v)]) + "  &  " + (LaTeX[z(v)]) + " \\ \end{array}  \right| \vec{j} \; +\left|  \begin{array}{}  " + (LaTeX[x(u)]) + " & " + (LaTeX[y(u)]) + "  \\ " + (LaTeX[x(v)]) + "  & " + (LaTeX[y(v)]) + "  \\ \end{array}  \right| \vec{k}"
textopv_1: "\vec{u}×\vec{v}=\left| \begin{array}{} \vec{i} & \vec{j} & \vec{k} \\ " + (LaTeX[x(u)]) + "& " + (LaTeX[y(u)]) + " & " + (LaTeX[z(u)]) + " \\ " + (LaTeX[x(v)]) + " & " + (LaTeX[y(v)]) + " & " + (LaTeX[z(v)]) + " \\ \end{array} \right|= "
textopv: "\vec{u}×\vec{v}=" + (LaTeX[LaTeX[(0, 0) + pv]]) + ""